I'm missing some calculation steps in an AC RC-example, and I can't understand how to get to the next step. If someone could show me, I'm sure to understand the rest.
Example: A standard RC-circuit.
----R------ | Vin C Vout | -----------
Vin=1 sin(wt) -> Vin = 1<0deg (polar form)
- Vout is given by voltage division
Now, apply R,C and w
The example then shows:
- f=100Hz gives Vout=(0.99-j0.10)1<0=0.995<-5.7deg
Given 1), applying numbers would give 1/(1+j0,100530965)
But then I'm stuck.
How do I solve the equatation to get to 2) the above from the voltage division? I will use it to calculate further different frequncies, i.e for 1000Hz and so on, but need to understand what is happening in between 1) and 2). I understand basic complex numbers, but reading right now upon converting to polar form. I understand -j(1/wc)=1/jwc. but have a problem getting to (0,99-j0.10)Vin from 1/(1+j0,100530965)Vin